Schultz's first works include the 2001 action film The Fast and the Furious. The following years he worked as assistant property master on the action film Rain (2001), as set decorator on the romance The Month of August (2002), art department coordinator on the science fiction film Timeline (2003), and art director on the short comedy Compton Cowboy (2004).

Working as graphic designer, Schultz contributed to the war drama We Were Soldiers (2002), the action thriller Cradle 2 the Grave (2003), the action comedy Around the World in 80 Days (2004), the remake The Amityville Horror (2005, with Rachel Nichols), the reboot The Dukes of Hazzard (2005, executive produced by Dana Goldberg), the action sequel Mission: Impossible III (2006, written, directed, and produced by J.J. Abrams and co-starring Keri Russell, Simon Pegg, and Greg Grunberg), the sport drama Gridiron Gang (2006, starring Dwayne Johnson), the crime thriller Zodiac (2007), the comic adaptation 4: Rise of the Silver Surfer (2007, starring Doug Jones and produced by Stan Lee and Ralph Winter), the action sequel Indiana Jones and the Kingdom of the Crystal Skull (2008), the science fiction remake The Day the Earth Stood Still (2008), the Academy Award winning drama The Curious Case of Benjamin Button (2008), the thriller Angels & Demons (2009), the comedy Get Him to the Greek (2010), the fantasy sequel Pirates of the Caribbean: On Stranger Tides (2011), J.J. Abrams' science fiction thriller Super 8 (2011), the science fiction sequel Transformers: Dark of the Moon (2011), Roberto Orci and Alex Kurtzman's science fiction film Cowboys & Aliens (2011), the action sequel Mission: Impossible – Ghost Protocol (2011), and the crime thriller The Girl with the Dragon Tattoo (2011).

In 2009, 2010, and 2012, Schultz received ADG Excellence in Production Design Award nominations in the catgories Fantasy Film/Contemporary Film for his work on Indiana Jones and the Kingdom of the Crystal Skull, Angels & Demons, and Cowboys & Aliens.

His work as graphic designer on the science fiction films Tomorrowland and Star Wars: Episode VII - The Force Awakens (both released in 2015) earned him two more ADG Excellence in Production Design Award nominations in the category Fantasy Film in 2016.

More recently, he worked as graphic designer on the television series The Night Of (2016), the comedy Why Him? (2016), and the science fiction sequel Transformers: The Last Knight (2017) as well as prosuction designer on the horror thriller Alice: The Hatred (2017, written and directed by Michael Kehoe, produced by Tommy Harper, and featuring Musetta Vander).